Question
The height of a rectangle is multiplied by 4 . Which of the
following describes the effect of this change on the area?
following describes the effect of this change on the area?
Ask by Klein Mills. in the United States
Mar 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The area of the rectangle becomes four times larger.
Solution
-
Let the original width be
and the original height be . The original area of the rectangle is -
The height is multiplied by 4, so the new height is
-
The new area becomes
-
Since
is the original area , we have -
Thus, the area is quadrupled.
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Simplify this solution The Deep Dive
When the height of a rectangle is multiplied by 4, the area of the rectangle also increases, specifically by 4 times the original area. This is because the area of a rectangle is calculated using the formula
Now, just imagine a vibrant garden where the height of your sunflowers is suddenly quadrupled! While they stretch higher towards the sky, you’re also increasing the lush green space they occupy on the ground, leading to a more thriving botanical scene. Not only will your garden attract more bees and butterflies, but it will also be the talk of the neighborhood with that fun, “wow, did you see those sunflowers?” factor!
